Probability Matching Priors
Subtitle: Higher Order Asymptotics
Edition: 1 edition
Publisher: Springer
Published: January 8, 2004
Language: eng
Format: Paperback
Number of pages: 127
ISBN-13: 9780387203294
Subjects: Probability & statistics; Mathematics; Science/Mathematics; Econometrics; Mathematics / Statistics; Probability & Statistics - General; Asymptotic theory; Bayesian statistical decision; Bayesian statistical decision theory; Mathematical statistics; Probabilities
First sentence: The study of priors ensuring, up to the desired order of asymptotics, the approximate frequentist validity of posterior credible sets has received significant attention in recent years and a considerable interest is still continuing in this field.
Description: Probability matching priors, ensuring frequentist validity of posterior credible sets up to the desired order of asymptotics, are of substantial current interest. They can form the basis of an objective Bayesian analysis. In addition, they provide a route for obtaining accurate frequentist confidence sets, which are meaningful also to a Bayesian. This monograph presents, for the first time in book form, an up-to-date and comprehensive account of probability matching priors addressing the problems of both estimation and prediction. Apart from being useful to researchers, it can be the core of a one-semester graduate course in Bayesian asymptotics. Gauri Sankar Datta is a professor of statistics at the University of Georgia. He has published extensively in the fields of Bayesian analysis, likelihood inference, survey sampling, and multivariate analysis. Rahul Mukerjee is a professor of statistics at the Indian Institute of Management Calcutta. He co-authored three other research monographs, including A Calculus for Factorial Arrangements in this series. A fellow of the Institute of Mathematical Statistics, Dr. Mukerjee is on the editorial boards of several international journals.